How many non-similar triangles have angles whose degree measures are distinct positive integers in an arithmetic progression?

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codiepienagoya codiepienagoya · Answer 1 · 2020-07-08T07:24:27+02:00

Answer:

The answer is "59".

Step-by-step explanation:

Let the sum of the angle value is = 180

The median term is equal to the average of the sum of all terms for a strange arithmetic progression of a strange number of terms:

[tex]\to \frac{180}{3} = 60^{\circ}[/tex]

For all the smallest angle 1 is the minimal level possible as well as 59 is the highest possible, so there is 59 used as the numbers are different.

lhmarianateixeira lhmarianateixeira · Answer 2 · 2022-01-18T12:53:02+01:00

In this exercise we have to use the knowledge of triangles to calculate the degrees they have, in this way we can find that;

59, positive

Using arithmetic progression and triangle knowledge, we have:

Let the sum of the angle value will be:

[tex]\sum degree=180[/tex]

The median term is equal to the average of the sum of all terms for a strange arithmetic progression of a strange number of terms:

[tex]180/3=60\\60-1=59[/tex]

See more about triangles at brainly.com/question/25813512